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Ramanujan's integral identities of the Riemann \(\Xi\)-function and the Lerch transcendent

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Publication:301444
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DOI10.1016/J.JNT.2016.04.006zbMath1401.11126OpenAlexW2415150956MaRDI QIDQ301444

Namhoon Kim

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.04.006


zbMATH Keywords

Mellin transformdigamma functionLerch transcedentRiemann \(\Xi\)-function


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35)


Related Items (2)

Polynomial moments with a weighted zeta square measure on the critical line ⋮ Koshliakov zeta functions I: modular relations




Cites Work

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  • Ramanujan's master theorem
  • ANALOGUES OF A TRANSFORMATION FORMULA OF RAMANUJAN
  • A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook
  • Some Formulae for the Riemann Zeta-Function
  • A note on the logarithmic derivative of the gamma function
  • Ramanujan's Lost Notebook




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